Finding the Third Proportional to 76,925 and 116,412

Step by Step Solution

1. Step 1: Write the proportion equation
   76,925 : 116,412 = 116,412 : x
2. Step 2: Convert to fraction form
   76,925/116,412 = 116,412/x
3. Step 3: Cross multiply
   76,925x = 116,412 × 116,412
4. Step 4: Simplify right side
   76,925x = 13,551,753,744
5. Step 5: Solve for x
   x = 13,551,753,744/76,925
6. Step 6: Final answer
   x = 176,168.39